Arbitary input - #205
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Use property-based/proptest for backend services with arbitrary inputs
Problem Statement. Service functions accept arbitrary inputs; only hand-picked sample tests exist.
Expected Outcome. Cover parsing/serialization edge cases with property tests.
Acceptance Criteria.
proptest (or fast-check) wired for at least the analytic computation paths.
Files / modules affected.
backend/src/analytics/, backend/src/multiplayer-queue/
closes #95
closes #97